B Activity B: Arrange Me! Directions: Use permutation to answer the following questions. Five bikers join a race. In how many possible ways can they be arranged as first, second and third placers? 1. How many positions to be filled? 2. How many choices will be used for the first position? Second position? 3. How will you represent the number of choices in the activity? 4. What operation will be used to find the possible ways? 5. How many possible outcomes for the top 3 in the race?

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Q: 2. P =

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Q: C4

A:

Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

A: 6 peoples are there.

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.